Answer:
The value of x is (-5)
Step-by-step explanation:
9x + 2 = 10x + 7
9x - 9x + 2 - 7 = 10x - 9x + 7 - 7
(-5) = x
x = (-5)
Thus, The value of x is (-5)
Find the mean and the mean absolute deviation of each data set
To find the mean and mean absolute deviation of a data set, you need to follow these steps:
1. Find the mean: To find the mean of a data set, add up all of the values in the set and then divide that sum by the number of values in the set. For example, if your data set is {2, 4, 6, 8, 10}, you would add up all of the values (2+4+6+8+10=30) and then divide that sum by the number of values (5). So the mean of this data set is 30/5 = 6.
2. Find the mean absolute deviation:
To find the mean absolute deviation of a data set, you first need to find the absolute deviation of each value in the set from the mean.
To do this, subtract the mean from each value in the set (for example, if your data set is {2, 4, 6, 8, 10} and the mean is 6, you would subtract 6 from each value: 2-6=-4, 4-6=-2, 6-6=0, 8-6=2, 10-6=4).
Then, take the absolute value of each of these differences (|-4|=4, |-2|=2, |0|=0, |2|=2, |4|=4). Finally, find the mean of these absolute deviations by adding them up and dividing by the number of values in the set.
For the example data set above, the mean absolute deviation is (4+2+0+2+4)/5 = 2.4.
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Joel borrowed $8,450 at 6.50% p.a. simple interest. How long did
he take to repay the loan if he was charged interest of $360.
_____years and ______days
Round up to the next day
We need to find the time period in years and days which Joel took to repay the loan.
Given the principal is 8,450, rate of interest is 6.5% per annum, and the interest charged is 360.
Let's solve the problem.
Find the time period using the formula Simple Interest\(= (P × R × T) / 100\)
Here,P = 8,450R = 6.5%T = ?Simple Interest = $360
Substituting the values in the formula and solving for T.
we get: \(360 = (8,450 × 6.5 × T) / 10036000/552.25 = T = 65.228 Years 65 years and 0.228 × 365\) days = 83 days.
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Work out angle x of 136
????????????????? :)
Answer:
(x-3)²-14
Step-by-step explanation:
Complete the square of the following quadratic equation.
x²-6x-5
\(\hrulefill\)
To complete the square for a quadratic equation in the form of ax²+bx+c =0, where a, b, and c are constants, you can follow these steps:
Make sure the coefficient of x^2 is 1. If it's not, divide the entire equation by that coefficient.Move the constant term (c) to the other side of the equation.Split the coefficient of x (b) into two equal halves, and square the result.Add the squared value obtained in step 3 to both sides of the equation.Write the left side of the equation as a perfect square trinomial.Simplify the right side of the equation, if necessary.Now, the equation is in the form of (x+a)²=b, where a and b are constants.\(\hrulefill\)
Step (1):
x²-6x-5=0
=> (1)x²-6x-5=0
a=1, so we can proceed
Step (2):
x²-6x=5
Step (3):
b=-6
=>1/2b=-3
=> (-3)²=9
Step (4):
x²-6x+9=5+9
Step (5):
(x-3)²=5+9
Step (6 & 7):
(x-3)²=14
We can rewrite this to get it in the form for your question.
(x-3)²=14
=> (x-3)²-14
Thus, the blanks are 3 and 14.
please help me answer this question asap
Answer:
It's quite easy
Step-by-step explanation:
people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23
Therefore there are 23 people less than 30 years old.
pls mark me as brainliest pls.
Which translation will change figure ABCD to figure A′B′C′D′? (5 points) PLEASE I NEED HELP ASAP
Answer:
6 units left 5 units right
Step-by-step explanation:
Question 6 of 10
The circle below is centered at the point (5, 3) and has a radius of length 4.
What is its equation?
5-
5
10
O A. (x-3)2 + (y- 5)² = 16
OB. (x+3)2 + (y + 5)² = 16
O C. (x-5)² + (y - 3)² = 16
O D. (x + 5)2 + (y+ 3)² = 16
Maria brought home a delicious, mouth watering Italian submarine sandwich, dripping with delicious dressing, that was 6 1/8 feet long. She was going to share it with 6 of her friends. if Maria and her friends were able to share the sub equally, how much of the sub each person get?
Using division, the length of the sandwich each friends got was 1.02083ft
What is DivisionDivision is a mathematical operation that divides one number (the dividend) by another (the divisor) to find the answer (the quotient). It is one of the four basic operations in mathematics, along with addition, subtraction, and multiplication.
To determine the size each one got, we have to divide the total length of the sandwich by the number of friends.
We need to convert the mixed fraction into improper fraction or decimal
6 1/8 = 49/8 = 6.125
Now, let's divide this by 6
6.125 / 6 = 49/48 = 1.02083
The length each of her friends will get is 1.02083ft
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Where have I went wrong and what are the correct answers?
Answer:
it's -7
Step-by-step explanation:
answer answer is -7
15a + 18 = 38 i need help please.
Answer: 4/3
Step-by-step explanation:
To solve the equation 15a + 18 = 38, we need to isolate the variable "a" on one side of the equation.
First, we can subtract 18 from both sides of the equation to get: 15a = 20
Then, we can divide both sides of the equation by 15 to solve for a: a = 4/3
So, the solution to the equation 15a + 18 = 38 is a = 4/3.
please help I dont understand
Answer:
2.1
Step-by-step explanation:
By the Law of Cosines,
a² = 5² + 6² - 2(5)(6)cos(20°)
a = sqrt(5² + 6² - 2(5)(6)cos(20°)), which is about 2.1
Solve the equation. Write the smaller value of x. x^2-4x-5=0
Find the length of AC
Find the length of DC
Step-by-step explanation:
Here is the solution...hope it helps:)
What is the surface area of a cylinder with base radius 4 and height 5 either enter an exact answer in terms of T or use 3.14 for T and enter your answer as a decimal?
Answer:
see below
Step-by-step explanation:
area of a cylinder = top circle + bottom circle + lateral
r=4 h=5
lateral = perimeter of the circle * height = 2π*4 * 5 =40π
area of a circle = πr² = 16π
top & bottom =32π
total = 40π+32π =72π = 226.08
The surface area of a cylinder exists 72π square units.
How to find the surface area of a cylinder?A cylinder's surface area is equal to two times the sum of its side and base areas.
Let the equation be
Surface area = 2(base area) + (side area)
The Base area of the equation be
Base area = πr²
When r = 4,
substitute the values in the above equation, we get
Base area = π(4)²
simplifying the equation, we get
Base area = 16 π
side area = 2πrh
side area = 2π × 4 × 5
side area = 40π
The Surface area of the equation be
Surface area = 2(base area) + (side area)
substitute the values in the above equation, we get
surface area = 2 × (16 π) + 40π
simplifying the equation, we get
surface area = 32π + 40π
surface area = 72π
Therefore, the surface area exists 72π square units.
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PLEASE!!!!!!!!!!!!!!!!!!
Answer:
Letter C cuz its right i hope it help wait dont foorget to punch your pc
25 POINTS WORTH
The graph shows the location of point P and point R. Point R is on the y-axis and has the same y-coordinate as point P. Point Q is graphed at (n,-2). The distance from point P to point Q is equal to the distance from point P to point R. What is the distance from point P to point Q? What is the value of N? Explain how you determined the distance from point P to point Q, and the value of N.
Answer:
where is the picture?
Step-by-step explanation:
Answer:
...
Step-by-step explanation:
what two numbers add up to 6 but multiply to -72?
Answer:
12 x -6 is -72 and -6 + 12 is 6 so 12 and -6 is the answer
Step-by-step explanation:
Answer:
-6 and 12.Step-by-step explanation:
Equations to check:
-6 + 12 = 6.-6 * 12 = -72.The 2 numbers that add up to 6, but multiply to -72 are - 6 and 12.
Brainliest please.
Perpendicular to y = -8. Contains (10,-20)
Answer:
x = 10
Step-by-step explanation:
y = - 8 is a horizontal line parallel to the x- axis
A line perpendicular to it will therefore be a vertical line parallel to the y- axis with equation
x = c ( c is the value of the x- coordinates the line passes through )
the line passes through (10, - 20 ) with x- coordinate 10 , then
x = 10 ← equation of perpendicular line
Write an equation that could be used to find the retail price for each range. How do you know the equation will work consistently for each range?
Answer:
It looks like you are trying to find the retail price for a given quantity of pairs. To write an equation that could be used to find the retail price for each range of quantities, you will need to know the following information:
The retail price for the first range (0-20 pairs)
The retail price for the second range (21-40 pairs)
The retail price for the third range (41-60 pairs)
The retail price for the fourth range (61-80 pairs)
The retail price for the fifth range (81 or more pairs)
Once you have this information, you can use an if-then statement to create an equation that will work consistently for each range. The equation might look something like this:
if (quantity >= 0 and quantity <= 20):
retail_price = price for 0-20 pairs
elif (quantity >= 21 and quantity <= 40):
retail_price = price for 21-40 pairs
elif (quantity >= 41 and quantity <= 60):
retail_price = price for 41-60 pairs
elif (quantity >= 61 and quantity <= 80):
retail_price = price for 61-80 pairs
else:
retail_price = price for 81 or more pairs
This equation will work consistently for each range because it uses a series of conditions to determine which retail price to use based on the quantity of pairs.
EDIT:
To find the retail price for a given quantity of pairs based on the wholesale prices you provided, you can use the following equation:
if (quantity >= 0 and quantity <= 20):
retail_price = 25.00
elif (quantity >= 21 and quantity <= 40):
retail_price = 23.00
elif (quantity >= 41 and quantity <= 60):
retail_price = 21.00
elif (quantity >= 61 and quantity <= 80):
retail_price = 19.00
else:
retail_price = 17.00
This equation will work consistently for each range because it uses a series of conditions to determine the retail price based on the quantity of pairs. The retail price will be 25.00 for quantities in the first range (0-20 pairs), 23.00 for quantities in the second range (21-40 pairs), 21.00 for quantities in the third range (41-60 pairs), 19.00 for quantities in the fourth range (61-80 pairs), and 17.00 for quantities in the fifth range (81 or more pairs).
Step-by-step explanation:
Factor expression given the polynomial
49x^2 + 100
Answer:
\((7x+10)^2-140x\)
Step-by-step explanation:
\((7x+10)^2-140x\)
= \((7x+10)(7x+10)-140x\)
= \(49x^{2} +70x + 70x + 100 - 140x\)
= \(49x^2 +140x - 140x +100\)
= \(49x^2+100\)
what is the percent of 65 minutes out of 24 hours
Answer:
2.7
Step-by-step explanation:
65/24
Answer:
4.5%
Step-by-step explanation:
24*60 to make the hrs into minutes
24*60=1440
65/1440= 4.51388888889
round the number
4.5%
3. Kerry goes to a gym and pays a $200
membership fee each year. She also
pays $40 for each class she enrolls in. If
she has spent $480. how many classes
has Kerry enrolled in?
how would i do this ?
Answer: 7 classes enrolled in
Step-by-step explanation:
200+40n=480
40n = 280
n = 7
Regular hexagons have been used to tile floors. Can a floor be tiled using only regular pentagons? Why or why not?
Select the correct answer below.
A floor can or cannot be tiled using only regular pentagons. For a regular hexagon, the measure of each vertex angle is ___nothing°, which means that 2,3,4,5 or 6 regular hexagons fit to form ____°, and the plane can be filled. For a regular pentagon, the measure of each vertex angle is ____°, so regular pentagons can or cannot be placed together to fill the plane because the measure of the plane, nothing____°,is or is not divisible by the measure of each vertex angle.
(Type integers or decimals.)
A floor cannot be tiled using only regular pentagons.
A floor cannot be tiled using only regular pentagons. For a regular hexagon, the measure of each vertex angle is 120°, which means that 3 regular hexagons fit to form 360°, and the plane can be filled. However, for a regular pentagon, the measure of each vertex angle is 108°, so regular pentagons cannot be placed together to fill the plane because the measure of the plane, 360°, is not divisible by the measure of each vertex angle. Therefore, a floor cannot be tiled using only regular pentagons.
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(04.01) Which of the following best defines 4^2/3
O Square root of 16
O Cube root of 4
O Square root of 4
O Cube root of 16
Answer:
Cube root of 16
Step-by-step explanation:
x^m/n =n/x^m
4^2/3 = 3/4^2=3/16
So it is Cube root of 16
Hope This Helped
a bucket that weighs 5 lb and a rope of negligible weight are used to draw water from a well that is 60 ft deep. the bucket is filled with 44 lb of water and is pulled up at a rate of 1.5 ft/s, but water leaks out of a hole in the bucket at a rate of 0.15 lb/s. find the work done in pulling the bucket to the top of the well.
The work done in hauling the bucket to the top of the well is 16ft/lb.
Using Riemann sum to calculate the area underneath a graph or curve.
At a rate of 0.15 lb/s, water escapes from a hole in the bucket. Convert this rate to inches per foot.
Q = 0.15 ÷ 1.5
Q = 0.01
As an outcome, water escapes at a rate of 0.01 lb/ft via a hole in the bucket.
Let x be the height in feet above the well's bottom. Thus, the total amount of water that leaks out of the hole is 0.01x The bucket is originally filled with 44 lb of water, and then 0.01x water seeps out. As a result, the water left in the bucket is,
44 - 0.01x
The bucket weighs 5 pounds. As a result, the total weight of the bucket when it reaches the top of the well is,
(44 - 0.01x) + 5
Because the well is 60 feet deep. As a result, the integration should be limited to a range of 0 to 60 feet. Take the above x function and solve it using the Riemann sum method.
W = \(\int\limits^{60}_{0} {44 - 0.01x + 5} \, dx\)
W = | 0 - 0.01 (x² ÷ 2) + 0|\({{}_{0}^{60}}\)
W = 0.005(60)² - 0
W = 16 ft/lb
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what is −5x + 4 for x = −5
Answer:
29
Step-by-step explanation:
Given
- 5x + 4 ← substitute x = - 5 into the expression
= - 5(- 5) + 4 = 25 + 4 = 29
Anna does sit-ups to get ready for her first triathlon. When she starts, she does a sit-up every
2
22 seconds. But, as she gets tired, each sit-up takes longer and longer to do.
Is the number of sit-ups Anna does proportional to the time she spends doing them?
Answer:
No
Step-by-step explanation:
The fact that each sit-up is harder to complete as Anna grows fatigued suggests that there isn't a straight correlation between the number of sit-ups and the amount of time needed to complete them. There will likely be a nonlinear relationship between the number of sit-ups and the time it takes to complete them as Anna becomes more exhausted since the time it takes her to do each sit-up will likely grow at an increasing pace.
In general, two variables are only considered to be proportional when their changes are made in direct proportion to one another, or when their ratio does not change. However, in this instance, when the quantity of sit-ups increases, it takes longer to complete each one.
The larger of two consecutive ODD numbers is one less than twice the smaller number. Find the larger of the two numbers.
Answer:
5Step-by-step explanation:
z - any integer
2z+1 - any odd integer (the smaller one)
2z+1+2 = 2z+3 - odd integer consecutive to 2z+1 (the larger one)
2(2z+1) - twice the smaller number
2(2z+1) - 1 - one less than twice the smaller number
2(2z+1) - 1 = 2z + 3
4z + 2 - 1 = 2z + 3
2z = 2
z = 1
2z+3 = 2•1+3 = 5
check:
2z+1 = 2•1+1 = 3,
2(2z+1)-1 = 2(2•1+1)-1 = 2•3-1 = 5 = 2z+3
4800 people attended a football game. If 10% of the people who attended were teenagers, how many teenagers attended the game?
Answer: 480 are teenagers
Step-by-step explanation:
To find a percentage of a number, I like to convert the percentage into its decimal form, so I do...
10% = .1 because a percentage is out of a whole number. 100% = 1.
Next, multiply your sum by the percentage you are looking for, so...
\(4800*.1=480\)
use the coordinate plane on the answer form to plot/label the following points
G (-4,8)
U (0,-9)
M (3, -7)
Plot G(-4,8), U(0,-9), and M(3,-7) on the coordinate plane.
How to plot given points?Sure, here's the plot of the points G (-4,8), U (0,-9), M (3,-7) on the coordinate plane:
|
|
| M(3,-7)
|
|
|
|
_____ |______________
|
|
|
| U(0,-9)
|
|
|
|
|
|
|
| G(-4,8)
Note that the x-axis is horizontal and the y-axis is vertical. The point G is located 4 units to the left of the origin and 8 units above the x-axis. The point U is located at the origin and 9 units below the x-axis.
The point M is located 3 units to the right of the origin and 7 units below the x-axis.
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